2782805844 has 144 divisors (see below), whose sum is σ = 8247438528. Its totient is φ = 723727872.

The previous prime is 2782805813. The next prime is 2782805887. The reversal of 2782805844 is 4485082872.

It is a super-3 number, since 3×2782805844³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2782805793 and 2782805802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555519 + ... + 560505.

Almost surely, 2^2782805844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782805844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123719264).

2782805844 is an abundant number, since it is smaller than the sum of its proper divisors (5464632684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2782805844 is a wasteful number, since it uses less digits than its factorization.

2782805844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 2782805844 is about 52752.3065277718. The cubic root of 2782805844 is about 1406.5687646525.

The spelling of 2782805844 in words is "two billion, seven hundred eighty-two million, eight hundred five thousand, eight hundred forty-four".